Mathematical analysis and numerical simulation of time-fractional host-parasitoid system with Caputo operator

Abstract

In this paper, a time-fractional host-parasitoid dynamics which is regarded as a new variant of the novel Nicholson-Bailey model is considered in the sense of the Caputo operator. The model equation is examined for linear stability analysis to guide in ensuring the best choice of parameters when simulating the full dynamical system. Furthermore, this work provides a suitable numerical technique for the approximation of the Caputo fractional derivative with order ρ ∈ (0,1]. To explore the dynamic richness of the model, numerical results are provided for different values of α.